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Let the “par” of a rectangle be defined as one half the area

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Let the “par” of a rectangle be defined as one half the area [#permalink] New post 24 Mar 2018, 02:09
Expert's post
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Question Stats:

87% (00:27) correct 12% (02:10) wrong based on 8 sessions
Let the “par” of a rectangle be defined as one half the area of that rectangle.

Quantity A
Quantity B
The par of a rectangle with a perimeter of 24 and a width of 2
11


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 2
Page: 546
[Reveal] Spoiler: OA

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Re: Let the “par” of a rectangle be defined as one half the area [#permalink] New post 25 Mar 2018, 19:36
Don't be scared off by weird terminology. Half the point of problems like this is to convince people that they can't solve it because they've never studied pars before. But when they use these obscure math terms, they will always define it for you. Just follow directions!

Anyway a par apparently is just half the area of the rectangle. So let's figure out the area of the rectangle and try not to forget to divide it in half at the end. It helps to draw a picture. If the width is 2, then the width of the opposite side is obviously 2 as well. Since the perimeter is 24, we have 20 left, to divide between the other two sides. So the other 2 sides must be 10 each.

Thus, the area of this rectangle is 20. If you forget to divide by 2 you'll get the wrong answer, but since the par is 10, the answer is B.
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: Let the “par” of a rectangle be defined as one half the area [#permalink] New post 28 Mar 2018, 13:26
Expert's post
Explanation

Draw it.

The rectangle in Quantity A has two sides of 2, for a total of 4. The remaining 20 units in the perimeter are divided evenly into two sides of length 10; the area of this rectangle is lw = (2)(10) = 20, and the “par” is one half that, or 10.

Quantity B is greater.
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Sandy
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Re: Let the “par” of a rectangle be defined as one half the area   [#permalink] 28 Mar 2018, 13:26
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Let the “par” of a rectangle be defined as one half the area

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